Find the indicated function values for each function. If...

find the indicated function values for each function. If necessary, round to two decimal places. If the function value is not a real number and does not exist, so state.
$$g(x)=-\sqrt{2 x+3} ; \quad g(11), g(1), g(-1), g(-2)$$

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Key Concepts

Function Evaluation

Function evaluation involves substituting the input value into the function's formula to compute the corresponding output. This concept is fundamental in mathematics because it allows us to determine the value of a function for any given input from its domain.

Domain Restrictions

Domain restrictions pertain to the set of all input values for which the function is defined. For functions involving a square root, such as the one given, the expression inside the square root (the radicand) must be non-negative to yield a real number output.

Square Root Functions

Square root functions are functions in which the output is given by the square root of an expression. They have inherent domain limitations because the operation of taking a square root is only defined for non-negative numbers in the realm of real numbers.

Rounding and Approximations

Rounding is the process of adjusting a numerical value to a specified degree of precision, such as two decimal places. This is often necessary when calculations yield long or non-terminating decimals, and concise, practical representations are needed.

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